Analysis 66 (290):135–141 (2006)
Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns of their dilemma.
|Categories||categorize this paper)|
References found in this work BETA
A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics.John P. Burgess & Gideon A. Rosen - 1997 - Oxford University Press.
Nominalism.Zoltán Gendler Szabó - 2003 - In Michael J. Loux & Dean W. Zimmerman (eds.), The Oxford Handbook of Metaphysics. Oxford University Press.
Citations of this work BETA
The Epistemological Challenge to Metanormative Realism: How Best to Understand It, and How to Cope with It.David Enoch - 2010 - Philosophical Studies 148 (3):413-438.
In Defence of Error Theory.Chris Daly & David Liggins - 2010 - Philosophical Studies 149 (2):209-230.
Optimus Prime: Paraphrasing Prime Number Talk.Jonathan Tallant - 2013 - Synthese 190 (12):2065-2083.
Similar books and articles
Against (Maddian) Naturalized Platonism.Mark Balaguer - 1994 - Philosophia Mathematica 2 (2):97-108.
The Nature of Mathematical Objects.Øystein Linnebo - 2008 - In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 205--219.
Platonism and Anti-Platonism: Why Worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
On Field's Epistemological Argument Against Platonism.Ivan Kasa - 2010 - Studia Logica 96 (2):141-147.
Added to index2009-01-28
Total downloads634 ( #1,831 of 2,152,644 )
Recent downloads (6 months)35 ( #8,603 of 2,152,644 )
How can I increase my downloads?